Problem

Suppose the value of $x$ varies from $x=-4$ to $x=-10$. a. Did $x$ increase or decrease? Select an answer $\vee$ b. If $x$ continues varying in this direction without limit, which of the following is true? Select all that apply. $x \rightarrow \infty$ $x$ increases without bound $x$ decreases without bound $x \rightarrow-\infty$

Solution

Step 1 :Suppose the value of $x$ varies from $x=-4$ to $x=-10$.

Step 2 :Compare the initial and final values of $x$.

Step 3 :If the final value is less than the initial value, then $x$ has decreased. If the final value is greater than the initial value, then $x$ has increased.

Step 4 :The final value of $x$ is less than the initial value, so $x$ has decreased.

Step 5 :Final Answer: $x$ has \(\boxed{decreased}\).

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Source: https://solvelyapp.com/problems/19957/

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